边边角三角形同余公理与完全四边形

IF 1 4区 数学 Q1 MATHEMATICS
P. Csiba, L. Németh
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引用次数: 0

摘要

在三角形同余公理中,边边角(SsA)公理说明两个三角形当且仅当两对对应边和长边对角相等时是全等的。构造了两个三角序列,其中的项满足一个修正条件。我们要求短边的对角相等。导出了三角形各边交点的轨迹为双曲线,在由完全四边形定义的广义形式下为二次曲线。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Side-side-angle triangle congruence axiom and the complete quadrilaterals
Among the triangle congruence axioms, the side-side-angle (SsA) axiom states that two triangles are congruent if and only if two pairs of corresponding sides and the angles opposite the longer sides are equal. We construct two triangle sequences in which the items satisfy a modified condition. We require that the opposite angles of the shorter sides be equal. The locus of the intersection points of other sides of triangles is derived to be a hyperbola, and in a generalized form defined by a complete quadrilateral, it is a conic section.
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来源期刊
CiteScore
1.30
自引率
12.50%
发文量
170
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